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Journal of Offshore Mechanics and Arctic Engineering | Volume 134 | Issue 4 | research-article
Offshore Technology

Comparison Between Frequency Domain and Time Domain Riser Analysis

[+] Author and Article Information
Moraes Takafuji

e-mail: fernanda.takafuji@gmail.com

Clóvis de Arruda Martins

e-mail: cmartins@usp.br
Department of Mechanical Engineering,
Av. Prof. Mello Moraes, 2231,
University of São Paulo,
05508-970 São Paulo, SP, Brazil

Contributed by the Ocean Offshore Mechanics and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received August 16, 2010; final manuscript received October 10, 2011; published online May 30, 2012. Assoc. Editor: Daniel T. Valentine.

J. Offshore Mech. Arct. Eng 134(4), 041301 (Nov 01, 2012) (9 pages) doi:10.1115/1.4006149 History: Received August 16, 2010; Revised October 10, 2011; Online May 30, 2012
Article
References
Figures
Tables

In the optimization or parametric analyses of risers, several configurations must be analyzed. It is laborious to perform time domain solutions for the dynamic analysis, since they are time-consuming tasks. So, frequency domain solutions appear to be a possible alternative, mainly in the early stages of a riser design. However, frequency domain analysis is linear and requires that nonlinear effects are treated. The aim of this paper is to present a possible way to treat some of these nonlinearities, using an iterative process together with an analytical correction, and compare the results of a frequency domain analysis with the those of a full nonlinear analysis.
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References

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Orcina, 2010, “OrcaFlex Manual Version 9.4a,” Daltongate, Ulverston, Cumbria, UK.
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Patel, M. H., and Seyed, F. B., 1995, “Review of Flexible Riser Modelling and Analysis Techniques,” Eng. Struct., 17(4), pp. 293–304. [CrossRef]
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Santos, M. F., 2003, “Three-Dimensional Global Mechanics of Submerged Cables,” PhD thesis, University of Sao Paulo, Sao Paulo, Brazil (in Portuguese).
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Silveira, L. M. Y., and Martins, C. A., 2004, “A Numerical Method to Solve the Static Problem of a Catenary Riser,” Proceedings of the 23rd International Conference on Offshore Mechanics and Arctic Engineering (OMAE), Canada.
5
Silveira, L. M.Y., and Martins, C. A., 2005, “A Numerical Method to Solve the Three-Dimensional Static Problem of a Riser With Bending Stiffness,” Proceedings of the 24th International Conference on Offshore Mechanics and Arctic Engineering (OMAE), Greece.
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Aranha, J. A. P., Martins, C. A., and Pesce, C. P., 1997, “Analytical Approximation for the Dynamic Bending Moment at the Touchdown Point of a Catenary Riser,” Int. J. Offshore Polar Eng., 7(4), pp. 293–300.
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Keller, H. B., 1968, Numerical Methods for Two-Point Boundary Value Problems, Blaisdell, Waltham, MA.
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Martins, C. A., 1998, “Poliflex - Poliflex User’s Manual,” EPUSP, San Paulo, Brazil (in Portuguese).
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Morison, J. R., O’Brian, M. P., Johnson, J. W., and Schaaf, S. A., 1950, “The Force Exerted by Surface Waves on Piles,” Trans. Am. Inst. Min., Metall. Pet. Eng., 189, pp. 149–154.
10
Dantas, C. M. S., Siqueira, M. Q., Ellwanger, G. B., Torres, A. L. F. L., and Mourelle, M. M., 2004, “A Frequency Domain Approach for Random Fatigue Analysis of Steel Catenary Risers at Brazil’s Deep Waters,” Proceedings of the 23rdInternational Conference on Offshore Mechanics and Arctic Engineering (OMAE), Canada.
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Gudmestad, O.T., and Connor, J. J., 1983, “Linearization Methods and the Influence of Current on the Nonlinear Hydrodynamic Drag Force,” Appl. Ocean Res., 5(4), pp. 184–194. [CrossRef]
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Langley, R. S., 1984, “The Linearisation of Three Dimensional Drag Force in Random Seas With Current,” Appl. Ocean Res., 6(3), pp. 126–131. [CrossRef]
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Leira, B. J., 1987, “Multidimensional Stochastic Linearisation of Drag Forces,” Appl. Ocean Res., 9(3), pp. 150–162. [CrossRef]
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Chen, Y.H., and Lin, F. M., 1989, “General Drag-Force Linearization for Nonlinear Analysis of Marine Risers,” Ocean Eng., 16(3), pp. 265–280. [CrossRef]
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Liu, Y., and Bergdahl, L., 1997, “Frequency-domain Dynamic Analysis of Cables,” Eng. Struct., 19(6), pp. 499–506. [CrossRef]
16
Martins, C. A., 2000, “A Tool to the Viability Study of Steel Catenary Risers,” Habilitation thesis, University of Sao Paulo, Sao Paulo, Brazil (in Portuguese).
17
Takafuji, F. C. M., and Martins, C. A., 2007, “Damping Linearization for Frequency Domain Lazy-Wave Riser Analysis,” Proceedings of the 17th International Offshore and Polar Engineering Conference, Lisbon, Portugal.
18
Takafuji, F. C. M., 2010, “Three-Dimensional Riser Dynamics,” PhD thesis, University of Sao Paulo, Sao Paulo, Brazil (in Portuguese).
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Det Norsk Veritas, 2006, “Free Spanning Pipelines,” Recommended Practice Report No. DNV-RP-F105.

Figures

Grahic Jump Location
Fig. 2

Sketch of the frequency domain’s boundary condition. The middle position is the static configuration and the other two are dynamic instants.

+Sketch of the frequency domain’s boundary condition. The middle position is the static configuration and the other two are dynamic instants.
View Large  |  Save Figure  |  Download Slide (.ppt)
Sketch of the frequency domain’s boundary condition. The middle position is the static configuration and the other two are dynamic instants.
Grahic Jump Location
Fig. 1

Sketch of the TDP movement. The middle position B is the static configuration and the other two, A and C, are dynamic instants. The black dots represent the seabed.

+Sketch of the TDP movement. The middle position B is the static configuration and the other two, A and C, are dynamic instants. The black dots represent the seabed.
View Large  |  Save Figure  |  Download Slide (.ppt)
Sketch of the TDP movement. The middle position B is the static configuration and the other two, A and C, are dynamic instants. The black dots represent the seabed.
Grahic Jump Location
Fig. 4

Results of the catenary in the half wave of the Campos Basin. They show the X, Y, Z, θ, ψ, out-of-plane curvature, in-plane curvature, and effective tension amplitudes in the function of the curvilinear coordinate s. BL denotes the boundary layer results.

+Results of the catenary in the half wave of the Campos Basin. They show the X, Y, Z, θ, ψ, out-of-plane curvature, in-plane curvature, and effective tension amplitudes in the function of the curvilinear coordinate s. BL denotes the boundary layer results.
View Large  |  Save Figure  |  Download Slide (.ppt)
Results of the catenary in the half wave of the Campos Basin. They show the X, Y, Z, θ, ψ, out-of-plane curvature, in-plane curvature, and effective tension amplitudes in the function of the curvilinear coordinate s. BL denotes the boundary layer results.
Grahic Jump Location
Fig. 3

Effective tension envelope comparison for the catenary. Min denotes the minimum values, ave denotes average, and max denotes the maximum values.

+Effective tension envelope comparison for the catenary. Min denotes the minimum values, ave denotes average, and max denotes the maximum values.
View Large  |  Save Figure  |  Download Slide (.ppt)
Effective tension envelope comparison for the catenary. Min denotes the minimum values, ave denotes average, and max denotes the maximum values.
Grahic Jump Location
Fig. 5

Results of the lazy-wave in the Campos Basin. They show the X, Y, Z, θ, ψ, out-of-plane curvature, in-plane curvature, and effective tension amplitudes in the function of the curvilinear coordinate s. BL denotes the boundary layer results.

+Results of the lazy-wave in the Campos Basin. They show the X, Y, Z, θ, ψ, out-of-plane curvature, in-plane curvature, and effective tension amplitudes in the function of the curvilinear coordinate s. BL denotes the boundary layer results.
View Large  |  Save Figure  |  Download Slide (.ppt)
Results of the lazy-wave in the Campos Basin. They show the X, Y, Z, θ, ψ, out-of-plane curvature, in-plane curvature, and effective tension amplitudes in the function of the curvilinear coordinate s. BL denotes the boundary layer results.
Grahic Jump Location
Fig. 6

Results of the lazy-wave in the Norwegian Sea. They show the X, Y, Z, θ, ψ, out-of-plane curvature, in-plane curvature, and effective tension amplitudes in the function of the curvilinear coordinate s. BL denotes the boundary layer results.

+Results of the lazy-wave in the Norwegian Sea. They show the X, Y, Z, θ, ψ, out-of-plane curvature, in-plane curvature, and effective tension amplitudes in the function of the curvilinear coordinate s. BL denotes the boundary layer results.
View Large  |  Save Figure  |  Download Slide (.ppt)
Results of the lazy-wave in the Norwegian Sea. They show the X, Y, Z, θ, ψ, out-of-plane curvature, in-plane curvature, and effective tension amplitudes in the function of the curvilinear coordinate s. BL denotes the boundary layer results.

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